If the slope of tangent at point `(x, y)` of curve `y = f(x)` is given by `(2y)/(x^(2))`. If this curve passes through the centre of the circle `x^(2) + y^(2) - 2x - 2y = 0`. Then the curve is :

Given that the slope of the tangent to a curve y = f(x) at any point (x, y ) is (2y )/ ( x ^ 2 ) . If the curve passes through the centre of the circle x ^ 2 + y ^ 2 - 2 x - 2y = 0 , then its equation is :

Given that the slope of the tangent to a curve y = f(x) at any point (x, y ) is (2y )/ ( x ^ 2 ) . If the curve passes through the centre of the circle x ^ 2 + y ^ 2 - 2 x - 2y = 0 , then its equation is :

The slope of the tangent at a point P(x, y) on a curve is (- (y+3)/(x+2)) . If the curve passes through the origin, find the equation of the curve.

The slope of the tangent at a point P(x,y) on a curve is -(y+3)/(x+2) . If the curve passes through the origin, find its equation.

The slope of the tangent at p(x,y) on the curve is -((y+3)/(x+2)) . If the curve passes through the origin, find the equation of the curve.

If slope of the tangent at the point (x, y) on the curve is (y-1)/(x^(2)+x) , then the equation of the curve passing through M(1, 0) is :

If slope of the tangent at the point (x, y) on the curve is (y-1)/(x^(2)+x) , then the equation of the curve passing through M(1, 0) is :

The slope of the tangent to a curve at any point (x,y) is (3y+2x+4)/(4x+6y+5) . If the curve passes through (0,-1), find the equation of the curve.

The slope of the tangent at (x,y) to a curve passing through (1,(pi)/(4)) is given by (y)/(x)-cos^(2)((y)/(x)), then the equation of the curve is